The side of square is increased by 10%. By what % does the area increase?
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Answer:
Step-by-step explanation:
Let original side = a
Original area. = a^2
New side = a + 10% of a = 1.1a
New area = (1.1a)^2 = 1.21a^2
Increase in area
= 1.21a^2 - a^2 = 0.21a^2
Increase% = 0.21a^2×100/a^2
= 21% Answer.
(2)Another easiest technique/
Let side = 10
Original area = (10)^2 = 100
New side = 10 + 10% of 10 = 11
New area = (11)^2 = 121
Increase in area
= 121-100 = 21
increase % = 21×100/100
= 21% Answer
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